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Finding the Third Proportional to 25,914.25 and 36,699.25

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Solution

The third proportional to 25,914.25 and 36,699.25 is: 51,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.25 : 36,699.25 = 36,699.25 : x
  2. Step 2: Convert to fraction form
    25,914.25/36,699.25 = 36,699.25/x
  3. Step 3: Cross multiply
    25,914.25x = 36,699.25 × 36,699.25
  4. Step 4: Simplify right side
    25,914.25x = 1,346,834,950.56
  5. Step 5: Solve for x
    x = 1,346,834,950.56/25,914.25
  6. Step 6: Final answer
    x = 51,972.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.